CAIE S1 2020 June — Question 4

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2020
SessionJune
TopicDiscrete Probability Distributions
TypeConstruct probability distribution from scenario

4 A fair four-sided spinner has edges numbered 1, 2, 2, 3. A fair three-sided spinner has edges numbered \(- 2 , - 1,1\). Each spinner is spun and the number on the edge on which it comes to rest is noted. The random variable \(X\) is the sum of the two numbers that have been noted.
  1. Draw up the probability distribution table for \(X\).
  2. Find \(\operatorname { Var } ( X )\).